Online GCD Calculator is useful to find the GCD of 642, 834, 732, 166 quickly. Get the easiest ways to solve the greatest common divisor of 642, 834, 732, 166 i.e 2 in different methods as follows.
Given Input numbers are 642, 834, 732, 166
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
GCD of numbers is the greatest common divisor
So, the GCD (642, 834, 732, 166) = 2.
Given numbers are 642, 834, 732, 166
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 834 are 2 x 3 x 139
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 166 are 2 x 83
The highest common occurrence is 21
Therefore, GCD of 642, 834, 732, 166 is 2.
Given numbers are 642, 834, 732, 166
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 834) = 89238
GCD(642, 834) = ( 642 x 834 ) / 89238
= 642 / 834
= 642
Step2:
LCM(6, 732) = 732
GCD(6, 732) = ( 6 x 732 ) / 732
= 6 / 732
= 6
Step3:
LCM(6, 166) = 498
GCD(6, 166) = ( 6 x 166 ) / 498
= 6 / 166
= 6
So, Greatest Common Divisor of 642, 834, 732, 166 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 834, 732, 166
The greatest common divisor of numbers 642, 834, 732, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 834, 732, 166 is 2.
1. What is the GCD of 642, 834, 732, 166?
GCD of given numbers 642, 834, 732, 166 is 2
2. How to calculate the greatest common divisor of 642, 834, 732, 166?
We can find the highest common divisor of 642, 834, 732, 166 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 642, 834, 732, 166 i.e 2.
3. How can I use the GCD of 642, 834, 732, 166Calculator?
Out the numbers 642, 834, 732, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.